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Finding the Fourth Proportional to 2,361.80, 3,536.22 and 1,205.12

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Solution

The fourth proportional to 2,361.80, 3,536.22 and 1,205.12 is: 1,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.80 : 3,536.22 = 1,205.12 : x
  2. Step 2: Convert to fraction form
    2,361.80/3,536.22 = 1,205.12/x
  3. Step 3: Cross multiply
    2,361.80x = 3,536.22 × 1,205.12
  4. Step 4: Simplify right side
    2,361.80x = 4,261,569.45
  5. Step 5: Solve for x
    x = 4,261,569.45/2,361.80
  6. Step 6: Final answer
    x = 1,804.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.